Question

find the value of x from the previous question.
the ratio of the measures of the angles of a triangle is 6:10:2. find the measure of the smallest angle.

Explanation:

Step1: Define angle variables

Let angles be $6x$, $10x$, $2x$.

Step2: Sum angles to 180°

$$6x + 10x + 2x = 180^\circ$$

Step3: Solve for x

$$18x = 180^\circ \implies x = \frac{180^\circ}{18} = 10^\circ$$

Step4: Find smallest angle

Smallest angle is $2x$, so $2 \times 10^\circ = 20^\circ$.

Answer:

$20^\circ$